US10564394B2 - Imaging lens - Google Patents
Imaging lens Download PDFInfo
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- US10564394B2 US10564394B2 US15/801,507 US201715801507A US10564394B2 US 10564394 B2 US10564394 B2 US 10564394B2 US 201715801507 A US201715801507 A US 201715801507A US 10564394 B2 US10564394 B2 US 10564394B2
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B9/00—Optical objectives characterised both by the number of the components and their arrangements according to their sign, i.e. + or -
- G02B9/62—Optical objectives characterised both by the number of the components and their arrangements according to their sign, i.e. + or - having six components only
-
- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B13/00—Optical objectives specially designed for the purposes specified below
- G02B13/001—Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras
- G02B13/0015—Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras characterised by the lens design
- G02B13/002—Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras characterised by the lens design having at least one aspherical surface
- G02B13/0045—Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras characterised by the lens design having at least one aspherical surface having five or more lenses
-
- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B13/00—Optical objectives specially designed for the purposes specified below
- G02B13/04—Reversed telephoto objectives
-
- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B13/00—Optical objectives specially designed for the purposes specified below
- G02B13/06—Panoramic objectives; So-called "sky lenses" including panoramic objectives having reflecting surfaces
-
- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B13/00—Optical objectives specially designed for the purposes specified below
- G02B13/18—Optical objectives specially designed for the purposes specified below with lenses having one or more non-spherical faces, e.g. for reducing geometrical aberration
-
- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
- G02B27/0025—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00 for optical correction, e.g. distorsion, aberration
- G02B27/0037—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00 for optical correction, e.g. distorsion, aberration with diffracting elements
-
- H04N5/335—
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
- H04N25/00—Circuitry of solid-state image sensors [SSIS]; Control thereof
Definitions
- “wide field of view” implies that a half field of view in a range capable of photographing is 45 degrees or more (namely the field of view is 90 degrees or more).
- “Low-profile” implies that total track length is less than 5.5 mm, and a ratio of total track length to diagonal length is less than 1.1.
- the diagonal length of the effective imaging plane of the image sensor is equal to the diameter of an effective image circle whose radius is the vertical height from an optical axis to the point where a light ray incident on the imaging lens at a maximum field of view enters the image plane, that is, the maximum image height.
- the first lens has negative refractive power and the concave surface facing the image side, and light ray incident to the first lens over wide field of view enters the second lens in nearly parallel along the optical axis.
- the second lens has positive refractive power and contributes to low-profileness.
- the fourth lens keeps proper balance of the positive refractive powers of the second lens and the fourth lens, achieves low-profileness, and corrects astigmatism and field curvature.
- the fifth lens has negative refractive power and corrects chromatic aberration.
- the fifth lens is a double-sided aspheric lens, and controls light ray incident angle to the image sensor and favorably corrects distortion.
- SAG L 1 R an amount of sag at the peripheral area of the effective diameter of the image-side surface of the first lens
- f a focal length of the overall optical system.
- the third lens has the negative refractive power and the concave surface facing the image side near the optical axis.
- chromatic aberration occurred at the first lens and the second lens is favorably corrected.
- conditional expressions (5), (6), (7), (8), (9) and (10) are satisfied: ⁇ 2.5 ⁇ f 1/ f ⁇ 1.0 (5) 0.5 ⁇ f 2/ f ⁇ 1.5 (6) ⁇ 6.0 ⁇ f 3/ f ⁇ 1.5 (7) 0.5 ⁇ f 4/ f ⁇ 1.5 (8) ⁇ 6.0 ⁇ f 5/ f ⁇ 1.5 (9) ⁇ 2.5 ⁇ f 6/ f ⁇ 1.0 (10) where
- t 1 a distance along the optical axis between the first lens and the second lens
- FIG. 7 is a schematic view showing the general configuration of an imaging lens in Example 4 according to the present invention.
- FIG. 11 is a schematic view showing the general configuration of an imaging lens in Example 6 according to the present invention.
- the imaging lens forms an image of an object on an image sensor, and comprises in order from an object side to an image side, a first lens L 1 having negative refractive power and a concave surface facing an image side near an optical axis X, a second lens L 2 having positive refractive power, a third lens L 3 , a fourth lens L 4 having positive refractive power, a fifth lens L 5 having negative refractive power as a double-sided aspheric lens, and a sixth lens L 6 as a double-sided aspheric lens which has a concave surface near the optical axis X and at least one pole point at an off-axial point (namely, away from the optical axis) on the image-side surface.
- the sixth lens L 6 has negative refractive power. Furthermore, the sixth lens L 6 is a meniscus lens having the object-side surface being convex near the optical axis X.
- the sixth lens L 6 is a double-sided aspheric lens, and the aspheric surface on the image side has a pole point and changes to the convex surface at an area apart from the optical axis.
- the sixth lens L 6 also controls the light ray incident angle to the image sensor and favorably corrects distortion.
- the imaging lens according to the present embodiments satisfies a below conditional expression (a) and the imaging lens being sufficiently made low-profile is obtained: TTL/2 ih ⁇ 1.1 (a) where
- f4 the focal length of the fourth lens.
- f the focal length of the overall optical system.
- f the focal length of the overall optical system.
- f the focal length of the overall optical system.
- conditional expression (7) a below conditional expression (7a) is more preferable, and a conditional expression (7b) is particularly preferable: ⁇ 5.5 ⁇ f 3/ f ⁇ 1.8 (7a) ⁇ 5.3 ⁇ f 3/ f ⁇ 2.0. (7b)
- the imaging lens according to the present embodiments satisfies a below conditional expression (9), and a ratio of the focal length of the fifth lens L 5 and the focal length of the overall optical system is properly defined to effectively achieve favorable correction of the chromatic aberration and shortening of the total track length: ⁇ 6.0 ⁇ f 5/ f ⁇ 1.5 (9) where
- f the focal length of the overall optical system.
- the imaging lens according to the present embodiments satisfies a below conditional expression (11), and a ratio of the composite focal length of the fourth lens, the fifth lens and the sixth lens and the focal length of the overall optical system is properly defined to effectively achieve favorable correction of the field curvature and shortening of the total track length: 1.0 ⁇ f 456/ f ⁇ 2.5 (11) where
- f456 the composite focal length of the fourth lens, the fifth lens and the sixth lens
- conditional expression (11) a below conditional expression (11a) is more preferable, and a conditional expression (11b) is particularly preferable: 1.2 ⁇ f 456/ f ⁇ 2.3 (11a) 1.3 ⁇ f 456/ f ⁇ 2.0. (11b)
- the imaging lens according to the present embodiments satisfies a below conditional expression (12), which is defined to effectively achieve favorable correction of the aberrations and shortening of total track length: 0.2 ⁇ t 1/ f ⁇ 0.6 (12) where
- f the focal length of the overall optical system.
- the imaging lens according to the present embodiments satisfies a below conditional expression (13), which is defined to effectively achieve the wide field of view and control of the light ray incident angle to the image sensor: 0.5 ⁇ CA 1/ ih ⁇ 2.0 (13) where
- conditional expression (13) a below conditional expression (13a) is more preferable, and a conditional expression (13b) is particularly preferable: 0.6 ⁇ CA 1/ ih ⁇ 1.7 (13a) 0.7 ⁇ CA 1/ ih ⁇ 1.5. (13b)
- the imaging lens according to the present embodiments satisfies a below conditional expression (14), which is defined to effectively achieve facilitation of the wide field of view and manufacturing: 0.05 ⁇ SAG L 1 F/CA 1 ⁇ 0.50 (14) where
- CA 1 the effective diameter of the object-side surface of the first lens.
- conditional expression (14) a below conditional expression (14a) is more preferable, and a conditional expression (14b) is particularly preferable: 0.06 ⁇ SAG L 1 F/CA 1 ⁇ 0.30 (14a) 0.07 ⁇ SAG L 1 F/CA 1 ⁇ 0.20. (14b)
- conditional expressions it is preferable to satisfy all of conditional expressions. By satisfying the conditional expression individually, operational advantage corresponding to each conditional expression can be obtained.
- the aspheric shapes of the surfaces of the aspheric lens are expressed by Equation 1, where Z denotes an axis in the optical axis direction, H denotes a height perpendicular to the optical axis, R denotes a curvature radius, k denotes a conic constant, and A4, A6, A8, A10, A12, A14, and A16 denote aspheric surface coefficients.
- the basic lens data is shown below in Table 1.
- FIG. 2 shows spherical aberration (mm), astigmatism (mm), and distortion (%) of the imaging lens in Example 1.
- the spherical aberration diagram shows the amount of aberration at wavelengths of F-ray (486 nm), d-ray (588 nm), and C-ray (656 nm).
- the astigmatism diagram shows the amount of aberration at d-ray on a sagittal image surface S and on tangential image surface T (same as FIG. 4 , FIG. 6 , FIG. 8 , FIG. 10 and FIG. 12 ). As shown in FIG. 2 , each aberration is corrected favorably.
- the basic lens data is shown below in Table 2.
- FIG. 4 shows spherical aberration (mm), astigmatism (mm), and distortion (%) of the imaging lens in Example 2. As shown in FIG. 4 , each aberration is corrected favorably.
- Example 4 satisfies conditional expressions (a) and (1) to (15) as shown in Table 7.
- the basic lens data is shown below in Table 5.
- FIG. 10 shows spherical aberration (mm), astigmatism (mm), and distortion (%) of the imaging lens in Example 5. As shown in FIG. 10 , each aberration is corrected favorably.
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- Lenses (AREA)
Abstract
ω≥45° (1)
where
Description
ω≥45° (1)
where
TTL/2ih≤1.1 (a)
where
0.1<SAG L1R/r2<0.6 (2)
where
0.5<r2/f<1.5 (3)
where
f2−f4>0 (4)
where
−2.5<f1/f<−1.0 (5)
0.5<f2/f<1.5 (6)
−6.0<f3/f<−1.5 (7)
0.5<f4/f<1.5 (8)
−6.0<f5/f<−1.5 (9)
−2.5<f6/f<−1.0 (10)
where
1.0<f456/f<2.5 (11)
where
0.2<t1/f<0.6 (12)
where
0.5<CA1/ih<2.0 (13)
where
0.05<SAG L1F/CA1<0.50 (14)
0.05<SAG L1R/CA2<0.50 (15)
where
TTL/2ih≤1.1 (a)
where
ω≥45° (1)
where
0.1<SAG L1R/r2<0.6 (2)
where
0.1<SAG L1R/r2<0.55 (2a)
0.15<SAG L1R/r2<0.5. (2b)
0.5<r2/f<1.5 (3)
where
0.6<r2/f<1.3 (3a)
0.65<r2/f<1.15. (3b)
f2−f4>0 (4)
where
−2.5<f1/f<−1.0 (5)
where
−2.3<f1/f<−1.3 (5a)
−2.2<f1/f<−1.5 (5b)
0.5<f2/f<1.5 (6)
where
0.7<f2/f<1.3 (6a)
0.8<f2/f<1.2. (6b)
−6.0<f3/f<−1.5 (7)
where
−5.5<f3/f<−1.8 (7a)
−5.3<f3/f<−2.0. (7b)
0.5<f4/f<1.5 (8)
where
0.5<f4/f<1.2 (8a)
0.6<f4/f<1.0. (8b)
−6.0<f5/f<−1.5 (9)
where
−5.0<f5/f<−1.7 (9a)
−4.5<f5/f<−1.8. (9b)
−2.5<f6/f<−1.0 (10)
where
−2.3<f6/f<−1.2 (10a)
−2.1<f6/f<−1.2. (10b)
1.0<f456/f<2.5 (11)
where
1.2<f456/f<2.3 (11a)
1.3<f456/f<2.0. (11b)
0.2<t1/f<0.6 (12)
where
0.25<t1/f<0.58 (12a)
0.28<t1/f<0.55. (12b)
0.5<CA1/ih<2.0 (13)
where
0.6<CA1/ih<1.7 (13a)
0.7<CA1/ih<1.5. (13b)
0.05<SAG L1F/CA1<0.50 (14)
where
0.06<SAG L1F/CA1<0.30 (14a)
0.07<SAG L1F/CA1<0.20. (14b)
0.05<SAG L1R/CA2<0.50 (15)
where
0.10<SAG L1R/CA2<0.45 (15a)
0.20<SAG L1R/CA2<0.40. (15b)
Example 1 |
Unit mm |
f = 1.74 | ||
Fno = 2.42 | ||
ω (°) = 59.9 | ||
ih = 2.49 | ||
TTL = 4.42 | ||
Surface Data |
Surface | Curvature | Surface | Refractive | Abbe Number | ||
Number i | Radius r | Distance d | Index Nd | vd | ||
(Object) | Infinity | Infinity | ||||
1* | 6.772 | 0.288 | 1.5443 | 55.86 | ||
2* | 1.205 | 0.436 | ||||
3 (Stop) | Infinity | 0.092 | ||||
4* | 1.634 | 0.515 | 1.5443 | 55.86 | ||
5* | −1.547 | 0.149 | ||||
6* | −9.053 | 0.210 | 1.6510 | 21.52 | ||
7* | 3.195 | 0.105 | ||||
8* | −4.335 | 0.782 | 1.5348 | 55.66 | ||
9* | −0.632 | 0.035 | ||||
10* | −1.991 | 0.310 | 1.6391 | 23.25 | ||
11* | −3.546 | 0.050 | ||||
12* | 1.778 | 0.440 | 1.5348 | 55.66 | ||
13* | 0.742 | 0.500 | ||||
14 | Infinity | 0.110 | 1.5168 | 64.20 | ||
15 | Infinity | 0.431 | ||||
Image Plane | Infinity | |||||
Constituent Lens Data |
Lens | Start Surface | Focal Length | |||
1 | 1 | f1 = −2.74 | f456 = 2.43 | ||
2 | 4 | f2 = 1.55 | CA1 = 1.95 | ||
3 | 6 | f3 = −3.60 | CA2 = 1.17 | ||
4 | 8 | f4 = 1.29 | SAG L1F = 0.27 | ||
5 | 10 | f5 = −7.70 | SAG L1R = 0.28 | ||
6 | 12 | f6 = −2.80 | |||
Aspheric Surface Data |
First Surface | Second Surface | Fourth Surface | Fifth Surface | Sixth Surface | Seventh Surface | |
k | 0.00000E+00 | 2.83986E+00 | 2.47910E+00 | 0.00000E+00 | 0.00000E+00 | 7.61528E−01 |
A4 | 4.40403E−01 | 5.83114E−01 | 2.74129E−02 | −6.26256E−01 | −1.60329E+00 | −8.70183E−01 |
A6 | −4.84282E−01 | 6.00713E−01 | −3.75983E−01 | 8.49792E−01 | 5.38048E−01 | 1.37465E+00 |
A8 | 4.15053E−01 | −6.67438E+00 | 9.66005E−01 | −1.12126E+00 | 4.19575E+00 | −1.57055E+00 |
A10 | −1.52367E−01 | 1.90574E+01 | −1.92308E+00 | 4.11207E−01 | −1.29396E+01 | 8.56445E−01 |
A12 | −4.61470E−03 | −1.21594E+01 | 0.00000E+00 | 0.00000E+00 | 1.33176E+01 | −1.49455E−02 |
A14 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 |
A16 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 |
Eighth Surface | Ninth Surface | Tenth Surface | Eleventh Surface | Twelfth Surface | Thirteenth Surface | |
k | 0.00000E+00 | −2.32485E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | −4.09446E+00 |
A4 | 1.74741E−01 | −2.68765E−01 | 1.36592E−01 | 1.83882E−01 | −2.39767E−01 | −2.00244E−01 |
A6 | −8.87073E−02 | 1.79338E−01 | 7.22718E−01 | 3.28525E−01 | −5.10307E−03 | 1.09283E−01 |
A8 | 2.58502E−01 | 1.00372E+00 | −1.89771E+00 | −9.50716E−01 | 2.89054E−03 | −4.51186E−02 |
A10 | −1.87120E+00 | −3.44653E+00 | 1.99535E+00 | 9.08022E−01 | 6.15432E−02 | 9.70167E−03 |
A12 | 2.88222E+00 | 5.02706E+00 | −1.31341E+00 | −4.35087E−01 | −4.75942E−02 | −1.97692E−04 |
A14 | −1.47680E+00 | −3.86363E+00 | 5.11826E−01 | 1.05641E−01 | 1.36563E−02 | −2.96542E−04 |
A16 | 0.00000E+00 | 1.30044E+00 | −8.32630E−02 | −1.04117E−02 | −1.45718E−03 | 3.63276E−05 |
Example 2 |
Unit mm |
f = 1.63 | ||
Fno = 2.39 | ||
ω (°) = 60.1 | ||
ih = 2.49 | ||
TTL = 4.90 | ||
Surface Data |
Surface | Curvature | Surface | Refractive | Abbe Number | ||
Number i | Radius r | Distance d | Index Nd | vd | ||
(Object) | Infinity | Infinity | ||||
1* | 11.809 | 0.345 | 1.5348 | 55.66 | ||
2* | 1.202 | 0.883 | ||||
3 (Stop) | Infinity | −0.009 | ||||
4* | 1.827 | 0.697 | 1.5443 | 55.86 | ||
5* | −1.405 | 0.198 | ||||
6* | 23.439 | 0.210 | 1.6503 | 21.54 | ||
7* | 2.312 | 0.120 | ||||
8* | −159.598 | 0.737 | 1.5348 | 55.66 | ||
9* | −0.747 | 0.035 | ||||
10* | −2.987 | 0.310 | 1.6391 | 23.25 | ||
11* | 82.236 | 0.051 | ||||
12* | 1.977 | 0.410 | 1.5348 | 55.66 | ||
13* | 0.862 | 0.250 | ||||
14 | Infinity | 0.210 | 1.5168 | 64.20 | ||
15 | Infinity | 0.520 | ||||
Image Plane | Infinity | |||||
Constituent Lens Data |
Lens | Start Surface | Focal Length | |||
1 | 1 | f1 = −2.53 | f456 = 3.13 | ||
2 | 4 | f2 = 1.58 | CA1 = 2.69 | ||
3 | 6 | f3 = −3.96 | CA2 = 1.59 | ||
4 | 8 | f4 = 1.40 | SAG L1F = 0.48 | ||
5 | 10 | f5 = −4.50 | SAG L1R = 0.56 | ||
6 | 12 | f6 = −3.27 | |||
Aspheric Surface Data |
First Surface | Second Surface | Fourth Surface | Fifth Surface | Sixth Surface | Seventh Surface | |
k | 0.00000E+00 | 5.31502E−01 | −3.36243E+00 | 0.00000E+00 | 0.00000E+00 | 4.00696E−01 |
A4 | 3.71110E−01 | 4.86718E−01 | −4.24428E−02 | −4.06448E−01 | −8.91305E−01 | −5.97792E−01 |
A6 | −3.49809E−01 | 1.00383E+00 | −6.67505E−01 | −3.11136E−01 | −3.19409E−01 | 5.61063E−01 |
A8 | 2.54180E−01 | −5.01632E+00 | 2.84787E+00 | 1.11316E+00 | 2.99668E+00 | −1.48239E−01 |
A10 | −1.06048E−01 | 1.08784E+01 | −1.37578E+01 | −3.20483E+00 | −8.05660E+00 | −4.60255E−01 |
A12 | 1.68999E−02 | −8.02150E+00 | 0.00000E+00 | 0.00000E+00 | 7.22205E+00 | 3.77686E−01 |
A14 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 |
A16 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 |
Eighth Surface | Ninth Surface | Tenth Surface | Eleventh Surface | Twelfth Surface | Thirteenth Surface | |
k | 0.00000E+00 | −3.02592E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | −6.45245E+00 |
A4 | −1.45604E−01 | −1.67774E−01 | 3.05311E−01 | 4.19085E−01 | −1.74202E−01 | −1.28923E−01 |
A6 | 7.35653E−01 | −3.02623E−02 | −3.17984E−01 | −6.87332E−01 | −2.99644E−03 | 4.27165E−02 |
A8 | −1.65845E+00 | 1.20562E+00 | −8.51208E−02 | 5.47065E−01 | 1.37171E−03 | −1.64241E−02 |
A10 | 2.04582E+00 | −2.98400E+00 | 2.99387E−01 | −2.73205E−01 | 2.36033E−02 | 4.82842E−03 |
A12 | −1.44250E+00 | 3.57018E+00 | −2.60502E−01 | 8.64238E−02 | −1.47522E−02 | −3.35157E−04 |
A14 | 3.84760E−01 | −2.16250E+00 | 1.03329E−01 | −1.56533E−02 | 3.42094E−03 | −1.24427E−04 |
A16 | 0.00000E+00 | 5.29046E−01 | −1.50137E−02 | 1.21529E−03 | −2.95009E−04 | 1.68283E−05 |
Example 3 |
Unit mm |
f = 1.89 | ||
Fno = 2.25 | ||
ω (°) = 60.0 | ||
ih = 2.28 | ||
TTL = 4.57 | ||
Surface Data |
Surface | Curvature | Surface | Refractive | Abbe Number | ||
Number i | Radius r | Distance d | Index Nd | vd | ||
(Object) | Infinity | Infinity | ||||
1* | −1984.021 | 0.538 | 1.5348 | 55.66 | ||
2* | 1.962 | 0.629 | ||||
3 (Stop) | Infinity | −0.043 | ||||
4* | 1.754 | 0.584 | 1.5443 | 55.86 | ||
5* | −2.754 | 0.096 | ||||
6* | −177.042 | 0.210 | 1.6503 | 21.54 | ||
7* | 6.450 | 0.110 | ||||
8* | −11.527 | 0.645 | 1.5348 | 55.66 | ||
9* | −0.666 | 0.035 | ||||
10* | −2.640 | 0.310 | 1.6391 | 23.25 | ||
11* | 15.473 | 0.149 | ||||
12* | 1.966 | 0.398 | 1.5348 | 55.66 | ||
13* | 0.773 | 0.290 | ||||
14 | Infinity | 0.145 | 1.5168 | 64.20 | ||
15 | Infinity | 0.525 | ||||
Image Plane | Infinity | |||||
Constituent Lens Data |
Lens | Start Surface | Focal Length | |||
1 | 1 | f1 = −3.67 | f456 = 3.56 | ||
2 | 4 | f2 = 2.06 | CA1 = 3.00 | ||
3 | 6 | f3 = −9.56 | CA2 = 1.62 | ||
4 | 8 | f4 = 1.29 | SAG L1F = 0.30 | ||
5 | 10 | f5 = −3.51 | SAG L1R = 0.34 | ||
6 | 12 | f6 = −2.69 | |||
Aspheric Surface Data |
First Surface | Second Surface | Fourth Surface | Fifth Surface | Sixth Surface | Seventh Surface | |
k | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 |
A4 | 1.43539E−01 | 3.90095E−01 | 4.33654E−03 | −6.46283E−01 | −8.26642E−01 | −3.86847E−01 |
A6 | −8.83772E−02 | −2.67894E−01 | −6.41647E−01 | 9.17502E−01 | 4.96005E−01 | 8.88156E−01 |
A8 | 4.82799E−02 | 6.80042E−01 | 1.97997E+00 | −2.45505E+00 | 1.25283E+00 | −1.51335E+00 |
A10 | −1.64677E−02 | −3.79474E−01 | −6.35760E+00 | 6.35850E−01 | −7.75115E+00 | 9.44637E−01 |
A12 | 2.28611E−03 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 1.05420E+01 | 1.96700E−01 |
A14 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 |
A16 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 |
Eighth Surface | Ninth Surface | Tenth Surface | Eleventh Surface | Twelfth Surface | Thirteenth Surface | |
k | 0.00000E+00 | −3.16023E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | −4.65433E+00 |
A4 | −2.55928E−01 | −2.54785E−01 | 5.56199E−01 | 4.16255E−01 | −1.72099E−01 | −1.25077E−01 |
A6 | 1.76492E+00 | 6.34072E−01 | −6.12178E−01 | −5.72207E−01 | −5.63640E−03 | 6.58266E−02 |
A8 | −4.22142E+00 | −1.33848E−01 | 1.08046E−01 | 3.38187E−01 | −3.18739E−03 | −4.21030E−02 |
A10 | 5.51485E+00 | −2.34264E+00 | 1.71282E−01 | −8.46553E−02 | 4.51248E−02 | 1.62408E−02 |
A12 | −4.10168E+00 | 5.71799E+00 | −1.20888E−01 | −6.23633E−03 | −3.21187E−02 | −2.88270E−03 |
A14 | 1.20191E+00 | −5.45873E+00 | 2.84071E−02 | 8.00436E−03 | 8.84350E−03 | 8.15540E−05 |
A16 | 0.00000E+00 | 1.87436E+00 | −4.72685E−03 | −1.26107E−03 | −8.93978E−04 | 2.32413E−05 |
Example 4 |
Unit mm |
f = 1.91 | ||
Fno = 2.24 | ||
ω (°) = 60.0 | ||
ih = 2.28 | ||
TTL = 4.60 | ||
Surface Data |
Surface | Curvature | Surface | Refractive | Abbe Number | ||
Number i | Radius r | Distance d | Index Nd | vd | ||
(Object) | Infinity | Infinity | ||||
1* | −1984.021 | 0.453 | 1.5348 | 55.66 | ||
2* | 2.131 | 0.751 | ||||
3 (Stop) | Infinity | −0.037 | ||||
4* | 1.666 | 0.556 | 1.5443 | 55.86 | ||
5* | −2.519 | 0.125 | ||||
6* | 39.261 | 0.230 | 1.6503 | 21.54 | ||
7* | 3.404 | 0.110 | ||||
8* | −20.071 | 0.639 | 1.5348 | 55.66 | ||
9* | −0.668 | 0.035 | ||||
10* | −2.403 | 0.365 | 1.6391 | 23.25 | ||
11* | 90.173 | 0.129 | ||||
12* | 2.040 | 0.380 | 1.5348 | 55.66 | ||
13* | 0.746 | 0.400 | ||||
14 | Infinity | 0.145 | 1.5168 | 64.20 | ||
15 | Infinity | 0.368 | ||||
Image Plane | Infinity | |||||
Constituent Lens Data |
Lens | Start Surface | Focal Length | |||
1 | 1 | f1 = −3.98 | f456 = 3.58 | ||
2 | 4 | f2 = 1.93 | CA1 = 2.93 | ||
3 | 6 | f3 = −5.75 | CA2 = 1.74 | ||
4 | 8 | f4 = 1.28 | SAG L1F = 0.28 | ||
5 | 10 | f5 = −3.66 | SAG L1R = 0.38 | ||
6 | 12 | f6 = −2.45 | |||
Aspheric Surface Data |
First Surface | Second Surface | Fourth Surface | Fifth Surface | Sixth Surface | Seventh Surface | |
k | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 |
A4 | 1.59931E−01 | 3.52166E−01 | −7.06583E−03 | −4.58990E−01 | −7.30950E−01 | −4.33279E−01 |
A6 | −9.56205E−02 | −1.57245E−01 | −5.21484E−01 | 8.26557E−01 | 4.21595E−01 | 9.06329E−01 |
A8 | 4.79054E−02 | 3.36255E−01 | 1.45943E+00 | −2.57841E+00 | 1.53818E+00 | −1.47861E+00 |
A10 | −1.62933E−02 | −1.96624E−01 | −4.66842E+00 | 9.41937E−01 | −8.44883E+00 | 8.22954E−01 |
A12 | 2.22134E−03 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 1.05420E+01 | 1.96700E−01 |
A14 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 |
A16 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 |
Eighth Surface | Ninth Surface | Tenth Surface | Eleventh Surface | Twelfth Surface | Thirteenth Surface | |
k | 0.00000E+00 | −3.22727E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | −4.81957E+00 |
A4 | −2.00309E−01 | −2.03488E−01 | 5.63669E−01 | 4.07086E−01 | −2.05033E−01 | −1.48101E−01 |
A6 | 1.71872E+00 | 6.56608E−01 | −6.32707E−01 | −5.74794E−01 | 1.15316E−02 | 7.83579E−02 |
A8 | −4.22372E+00 | −2.03342E−01 | 7.91350E−02 | 3.38045E−01 | −3.82623E−03 | −4.37351E−02 |
A10 | 5.54648E+00 | −2.31712E+00 | 1.80417E−01 | −8.42641E−02 | 4.46792E−02 | 1.60705E−02 |
A12 | −4.10168E+00 | 5.71799E+00 | −1.20888E−01 | −5.92152E−03 | −3.22016E−02 | −2.85642E−03 |
A14 | 1.20191E+00 | −5.45873E+00 | 2.84071E−02 | 8.02353E−03 | 8.83820E−03 | 1.00351E−04 |
A16 | 0.00000E+00 | 1.87436E+00 | −4.72685E−03 | −1.30936E−03 | −8.83335E−04 | 1.84999E−05 |
Example 5 |
Unit mm |
f = 2.03 | ||
Fno = 2.23 | ||
ω (°) = 60.0 | ||
ih = 2.28 | ||
TTL = 4.64 | ||
Surface Data |
Surface | Curvature | Surface | Refractive | Abbe Number | ||
Number i | Radius r | Distance d | Index Nd | vd | ||
(Object) | Infinity | Infinity | ||||
1* | Infinity | 0.355 | 1.5348 | 55.66 | ||
2* | 2.245 | 0.846 | ||||
3 (Stop) | Infinity | −0.064 | ||||
4* | 1.543 | 0.562 | 1.5443 | 55.86 | ||
5* | −4.878 | 0.125 | ||||
6* | 5.402 | 0.230 | 1.6503 | 21.54 | ||
7* | 2.674 | 0.110 | ||||
8* | 43.709 | 0.629 | 1.5348 | 55.66 | ||
9* | −0.770 | 0.035 | ||||
10* | −3.328 | 0.365 | 1.6391 | 23.25 | ||
11* | 8.919 | 0.281 | ||||
12* | 2.717 | 0.380 | 1.5348 | 55.66 | ||
13* | 0.896 | 0.400 | ||||
14 | Infinity | 0.110 | 1.5168 | 64.20 | ||
15 | Infinity | 0.317 | ||||
Image Plane | Infinity | |||||
Constituent Lens Data |
Lens | Start Surface | Focal Length | |||
1 | 1 | f1 = −4.20 | f456 = 3.95 | ||
2 | 4 | f2 = 2.22 | CA1 = 2.93 | ||
3 | 6 | f3 = −8.42 | CA2 = 1.88 | ||
4 | 8 | f4 = 1.42 | SAG L1F = 0.26 | ||
5 | 10 | f5 = −3.75 | SAG L1R = 0.42 | ||
6 | 12 | f6 = −2.70 | |||
Aspheric Surface Data |
First Surface | Second Surface | Fourth Surface | Fifth Surface | Sixth Surface | Seventh Surface | |
k | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 |
A4 | 1.72875E−01 | 3.20721E−01 | 5.88135E−03 | −3.90211E−01 | −6.47512E−01 | −4.11872E−01 |
A6 | −1.08661E−01 | −1.05164E−01 | −3.11728E−01 | 3.43197E−01 | −2.66901E−01 | 5.93659E−01 |
A8 | 4.63623E−02 | 1.24568E−01 | 9.08916E−01 | −1.28559E+00 | 2.49035E+00 | −1.06887E+00 |
A10 | −1.34416E−02 | −6.53543E−02 | −2.76101E+00 | 7.27879E−02 | −9.45186E+00 | 5.54355E−01 |
A12 | 1.73868E−03 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 1.05420E+01 | 1.96700E−01 |
A14 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 |
A16 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 |
Eighth Surface | Ninth Surface | Tenth Surface | Eleventh Surface | Twelfth Surface | Thirteenth Surface | |
k | 0.00000E+00 | −3.26363E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | −4.82616E+00 |
A4 | −2.70368E−01 | −2.10367E−01 | 4.46342E−01 | 3.14351E−01 | −2.41376E−01 | −1.70148E−01 |
A6 | 1.73821E+00 | 6.12589E−01 | −5.73026E−01 | −5.39626E−01 | 4.85809E−02 | 9.37351E−02 |
A8 | −4.33791E+00 | −4.87581E−01 | −4.61254E−02 | 3.43589E−01 | −8.64242E−03 | −5.01025E−02 |
A10 | 5.68448E+00 | −1.99787E+00 | 2.68990E−01 | −8.77252E−02 | 4.35727E−02 | 1.64341E−02 |
A12 | −4.10168E+00 | 5.71799E+00 | −1.20260E−01 | −6.14956E−03 | −3.15635E−02 | −2.76239E−03 |
A14 | 1.20191E+00 | −5.45873E+00 | 2.84071E−02 | 8.15030E−03 | 8.64100E−03 | 1.82605E−04 |
A16 | 0.00000E+00 | 1.87436E+00 | −4.72685E−03 | −1.33079E−03 | −8.53991E−04 | 1.15576E−06 |
Example 6 |
Unit mm |
f = 2.04 | ||
Fno = 2.24 | ||
ω (°) = 59.8 | ||
ih = 2.28 | ||
TTL = 4.64 | ||
Surface Data |
Surface | Curvature | Surface | Refractive | Abbe Number | ||
Number i | Radius r | Distance d | Index Nd | vd | ||
(Object) | Infinity | Infinity | ||||
1* | Infinity | 0.355 | 1.5348 | 55.66 | ||
2* | 2.265 | 0.838 | ||||
3 (Stop) | Infinity | −0.072 | ||||
4* | 1.514 | 0.550 | 1.5443 | 55.86 | ||
5* | −5.955 | 0.125 | ||||
6* | 6.172 | 0.220 | 1.6503 | 21.54 | ||
7* | 2.867 | 0.110 | ||||
8* | 36.388 | 0.641 | 1.5348 | 55.66 | ||
9* | −0.789 | 0.035 | ||||
10* | −3.810 | 0.365 | 1.6391 | 23.25 | ||
11* | 7.308 | 0.300 | ||||
12* | 2.298 | 0.380 | 1.5348 | 55.66 | ||
13* | 0.865 | 0.500 | ||||
14 | Infinity | 0.110 | 1.5168 | 64.20 | ||
15 | Infinity | 0.222 | ||||
Image Plane | Infinity | |||||
Constituent Lens Data |
Lens | Start Surface | Focal Length | |||
1 | 1 | f1 = −4.23 | f456 = 3.71 | ||
2 | 4 | f2 = 2.28 | CA1 = 2.90 | ||
3 | 6 | f3 = −8.46 | CA2 = 1.86 | ||
4 | 8 | f4 = 1.45 | SAG L1F = 0.26 | ||
5 | 10 | f5 = −3.87 | SAG L1R = 0.41 | ||
6 | 12 | f6 = −2.86 | |||
Aspheric Surface Data |
First Surface | Second Surface | Fourth Surface | Fifth Surface | Sixth Surface | Seventh Surface | |
k | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 |
A4 | 1.69505E−01 | 3.20721E−01 | 2.47869E−02 | −3.56643E−01 | −6.46652E−01 | −4.24558E−01 |
A6 | −9.80824E−02 | −1.07595E−01 | −2.99024E−01 | 1.65878E−01 | −4.28751E−01 | 5.58791E−01 |
A8 | 3.97059E−02 | 1.87662E−01 | 9.44770E−01 | −9.33836E−01 | 2.44503E+00 | −1.05792E+00 |
A10 | −1.19501E−02 | −1.17522E−01 | −2.71258E+00 | −2.63833E−01 | −8.97831E+00 | 7.07424E−01 |
A12 | 1.62839E−03 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 1.05420E+01 | 1.96700E−01 |
A14 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 |
A16 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 |
Eighth Surface | Ninth Surface | Tenth Surface | Eleventh Surface | Twelfth Surface | Thirteenth Surface | |
k | 0.00000E+00 | −3.56367E+00 | 0.00000E+00 | 0.00000E+00 | 0.00000E+00 | −4.51473E+00 |
A4 | −2.76251E−01 | −2.76503E−01 | 4.27935E−01 | 3.04032E−01 | −2.77926E−01 | −1.69988E−01 |
A6 | 1.70020E+00 | 7.14179E−01 | −5.59142E−01 | −5.39856E−01 | 6.51094E−02 | 8.97879E−02 |
A8 | −4.30599E+00 | −6.05258E−01 | −5.10738E−02 | 3.46777E−01 | −1.17695E−02 | −4.67236E−02 |
A10 | 5.68225E+00 | −1.95804E+00 | 2.80629E−01 | −8.74799E−02 | 4.26886E−02 | 1.61170E−02 |
A12 | −4.10168E+00 | 5.71799E+00 | −1.20260E−01 | −6.69764E−03 | −3.11569E−02 | −2.89685E−03 |
A14 | 1.20191E+00 | −5.45873E+00 | 2.84071E−02 | 7.97562E−03 | 8.59027E−03 | 1.84517E−04 |
A16 | 0.00000E+00 | 1.87436E+00 | −4.72685E−03 | −1.23734E−03 | −8.51266E−04 | 5.30290E−06 |
TABLE 7 | ||||||||
Conditional | Conditional | Conditional | Conditional | Conditional | Conditional | Conditional | ||
Expression | Conditional | Expression | Expression | Expression | Expression | Expression | Expression | |
(a) | Expression | (2) | (3) | (4) | (5) | (6) | (7) | |
TTL/2IH | (1) ω | SAG L1R/r2 | r2/f | f2 − f4 > 0 | f1/f | f2/f | f3/f | |
Example1 | 0.89 | 59.9 | 0.23 | 0.69 | 0.26 | −1.57 | 0.89 | −2.07 |
Example2 | 0.98 | 60.1 | 0.47 | 0.74 | 0.18 | −1.55 | 0.97 | −2.43 |
Example3 | 1.00 | 60.0 | 0.18 | 1.04 | 0.77 | −1.94 | 1.09 | −5.07 |
Example4 | 1.01 | 60.0 | 0.18 | 1.12 | 0.65 | −2.09 | 1.01 | −3.02 |
Example5 | 1.02 | 60.0 | 0.19 | 1.11 | 0.80 | −2.07 | 1.10 | −4.15 |
Example6 | 1.02 | 59.8 | 0.18 | 1.11 | 0.82 | −2.08 | 1.12 | −4.15 |
Conditional | Conditional | Conditional | Conditional | Conditional | Conditional | Conditional | Conditional | |
Expression | Expression | Expression | Expression | Expression | Expression | Expression | Expression | |
(8) | (9) | (10) | (11) | (12) | (13) | (14) | (15) | |
f4/f | f5/f | f6/f | f456/f | t1/f | CA1/ih | SAGL1F/CA1 | SAGL1R/CA2 | |
Example1 | 0.74 | −4.42 | −1.61 | 1.39 | 0.30 | 0.78 | 0.14 | 0.24 |
Example2 | 0.86 | −2.76 | −2.01 | 1.92 | 0.54 | 1.08 | 0.18 | 0.35 |
Example3 | 0.69 | −1.86 | −1.43 | 1.89 | 0.31 | 1.31 | 0.10 | 0.21 |
Example4 | 0.67 | −1.92 | −1.29 | 1.88 | 0.37 | 1.28 | 0.10 | 0.22 |
Example5 | 0.70 | −1.85 | −1.33 | 1.95 | 0.39 | 1.28 | 0.09 | 0.22 |
Example6 | 0.71 | −1.90 | −1.40 | 1.82 | 0.38 | 1.27 | 0.09 | 0.22 |
Claims (14)
ω≥45° (1)
−2.5<f1/f<−1.0 (5)
−6.0<f5/f<−1.5 (9)
0.1<SAG L1R/r2<0.6 (2)
0.5<r2/f<1.5 (3)
f2−f4>0 (4)
0.5<f2/f<1.5 (6)
−6.0<f3/f<−1.5 (7)
0.5<f4/f<1.5 (8)
−2.5<f6/f<−1.0 (10)
1.0<f456/f<2.5 (11)
0.2<t1/f<0.6 (12)
0.5<CA1/ih<2.0 (13)
0.05<SAG L1F/CA1<0.50 (14)
0.05<SAG L1R/CA2<0.50 (15)
ω≥45° (1)
−2.5<f1/f<−1.0 (5)
0.5<f2/f<1.5 (6)
−6.0<f3/f<−1.5 (7)
0.5<f4/f<1.5 (8)
−6.0<f5/f−1.5 (9)
−2.5<f6/f<−1.0 (10)
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US20200132965A1 (en) | 2020-04-30 |
US20200132966A1 (en) | 2020-04-30 |
CN113219626B (en) | 2022-12-27 |
JP2018072716A (en) | 2018-05-10 |
CN113189753A (en) | 2021-07-30 |
CN113189753B (en) | 2022-12-27 |
CN113189754B (en) | 2023-03-14 |
US11391914B2 (en) | 2022-07-19 |
CN108008519B (en) | 2021-04-23 |
CN113189754A (en) | 2021-07-30 |
JP6440173B2 (en) | 2018-12-19 |
US11422338B2 (en) | 2022-08-23 |
US11422337B2 (en) | 2022-08-23 |
CN113219626A (en) | 2021-08-06 |
CN108008519A (en) | 2018-05-08 |
US20180348480A1 (en) | 2018-12-06 |
US20200132964A1 (en) | 2020-04-30 |
CN207586515U (en) | 2018-07-06 |
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